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Finding the Fourth Proportional to 29,744.64, 41,047.84 and 16,315.76

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Solution

The fourth proportional to 29,744.64, 41,047.84 and 16,315.76 is: 22,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744.64 : 41,047.84 = 16,315.76 : x
  2. Step 2: Convert to fraction form
    29,744.64/41,047.84 = 16,315.76/x
  3. Step 3: Cross multiply
    29,744.64x = 41,047.84 × 16,315.76
  4. Step 4: Simplify right side
    29,744.64x = 669,726,705.96
  5. Step 5: Solve for x
    x = 669,726,705.96/29,744.64
  6. Step 6: Final answer
    x = 22,515.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.